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Finding the Third Proportional to 330,010 and 514,725

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Solution

The third proportional to 330,010 and 514,725 is: 802,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,010 : 514,725 = 514,725 : x
  2. Step 2: Convert to fraction form
    330,010/514,725 = 514,725/x
  3. Step 3: Cross multiply
    330,010x = 514,725 × 514,725
  4. Step 4: Simplify right side
    330,010x = 264,941,825,625
  5. Step 5: Solve for x
    x = 264,941,825,625/330,010
  6. Step 6: Final answer
    x = 802,829.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.